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Finding the Fourth Proportional to 998.04, 1,497.04 and 477.68

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Solution

The fourth proportional to 998.04, 1,497.04 and 477.68 is: 716.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.04 : 1,497.04 = 477.68 : x
  2. Step 2: Convert to fraction form
    998.04/1,497.04 = 477.68/x
  3. Step 3: Cross multiply
    998.04x = 1,497.04 × 477.68
  4. Step 4: Simplify right side
    998.04x = 715,106.07
  5. Step 5: Solve for x
    x = 715,106.07/998.04
  6. Step 6: Final answer
    x = 716.51

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.